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Finding the Fourth Proportional to 624,621.56, 861,978.02 and 338,141.63

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Solution

The fourth proportional to 624,621.56, 861,978.02 and 338,141.63 is: 466,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,621.56 : 861,978.02 = 338,141.63 : x
  2. Step 2: Convert to fraction form
    624,621.56/861,978.02 = 338,141.63/x
  3. Step 3: Cross multiply
    624,621.56x = 861,978.02 × 338,141.63
  4. Step 4: Simplify right side
    624,621.56x = 291,470,652,706.97
  5. Step 5: Solve for x
    x = 291,470,652,706.97/624,621.56
  6. Step 6: Final answer
    x = 466,635.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.